379419456 has 112 divisors (see below), whose sum is σ = 1096841088. Its totient is φ = 115046400.

The previous prime is 379419449. The next prime is 379419457. The reversal of 379419456 is 654914973.

379419456 = T₂₄₈₈ + T₂₄₈₉ + ... + T₂₆₀₄.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379419457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176146 + ... + 178286.

It is an arithmetic number, because the mean of its divisors is an integer number (9793224).

Almost surely, 2^379419456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379419456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548420544).

379419456 is an abundant number, since it is smaller than the sum of its proper divisors (717421632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

379419456 is a wasteful number, since it uses less digits than its factorization.

379419456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2230 counting only the distinct ones).

The product of its digits is 816480, while the sum is 48.

The square root of 379419456 is about 19478.6923585748. The cubic root of 379419456 is about 723.9465992379.

The spelling of 379419456 in words is "three hundred seventy-nine million, four hundred nineteen thousand, four hundred fifty-six".